SOLUTION: The measure of one acute angle in a right triangle is four times the measure of other acute angle. Write and solve a system of equations to find the measures of the acute angles.

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Question 538947: The measure of one acute angle in a right triangle is four times the measure of other acute angle. Write and solve a system of equations to find the measures of the acute angles.
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Call the smaller acute angle x and the larger y


y=4x


The sum of the interior angles in a triangle is 180 so


x+y+90=180 and thus x+y=90.


Solve by substitution.


y=4x so


x+4x=90
5x=90
x=18


y=4x=4(18)=72

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